On general rotation sets of open billiards

Zainab Alsheekhhussain

    Research output: Contribution to journalArticle

    Abstract

    We study the general rotation sets of open billiards in (Formula presented.) for the observable given by the starting point of a given billiard trajectory. We prove that, for a class of open billiards, the general rotation set is equal to the polygon formed by the midpoints of the segments connecting the centers of the obstacles. Moreover, we provide an example to show that such a result may not hold in general.

    Original languageEnglish
    Pages (from-to)71–80
    Number of pages10
    JournalArchiv der Mathematik
    Volume110
    Issue number1
    DOIs
    Publication statusPublished - Jan 2018

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